The notion of a gamma ring is a generalization of the concept of a classical ring. This attempt characterizes certain gamma rings with various types of k-derivations and k-homomorphisms. We determine the commutativity of prime gamma rings of characteristic not equal to 2 and 3 with k-derivations, left (and right) k-derivations and generalized k-derivations. We prove that every Jordan k-derivation (also, Jordan generalized k-derivation) of a gamma ring is a k-derivation (generalized k-derivation) of the same, if we consider the gamma ring as a (2-torsion free) prime, completely prime,...
The notion of a gamma ring is a generalization of the concept of a classical ring. This attempt characterizes certain gamma rings with various types o...
